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What is the Least Common Multiple of 55568 and 55573?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 55568 and 55573 is 3088080464.

LCM(55568,55573) = 3088080464

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Least Common Multiple of 55568 and 55573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55568 and 55573, than apply into the LCM equation.

GCF(55568,55573) = 1
LCM(55568,55573) = ( 55568 × 55573) / 1
LCM(55568,55573) = 3088080464 / 1
LCM(55568,55573) = 3088080464

Least Common Multiple (LCM) of 55568 and 55573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55568 and 55573. First we will calculate the prime factors of 55568 and 55573.

Prime Factorization of 55568

Prime factors of 55568 are 2, 23, 151. Prime factorization of 55568 in exponential form is:

55568 = 24 × 231 × 1511

Prime Factorization of 55573

Prime factors of 55573 are 7, 17, 467. Prime factorization of 55573 in exponential form is:

55573 = 71 × 171 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 55568 and 55573.

LCM(55568,55573) = 24 × 231 × 1511 × 71 × 171 × 4671
LCM(55568,55573) = 3088080464